3,873,009

3 × 7² × 26347

3,873,009 factors as 3 × 7^2 × 26347. Its 12 positive divisors give a proper-divisor sum of 2,134,335, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 26347

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,007,344

Proper Divisor Sum 2,134,335

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3873007 ← → #3873011

Radix Representation

Decimal	3873009
Binary	1110110001100011110001 (22 bits)
Octal	0o16614361
Hexadecimal	0x3B18F1

Divisor Catalog (12)

1 3 7 21 49 147 26,347 79,041 184,429 553,287 1,291,003 3,873,009

Collatz Trajectory (172 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,873,009 11,619,028 5,809,514 2,904,757 8,714,272 4,357,136 2,178,568 1,089,284 544,642 272,321 816,964 408,482 204,241 612,724 306,362 153,181 459,544 229,772 114,886 57,443 172,330 86,165 258,496 129,248 64,624 32,312 16,156 8,078 4,039 12,118 6,059 18,178 9,089 27,268 13,634 6,817 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097

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